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Finding the Fourth Proportional to 630.53, 869.74 and 433.70

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Solution

The fourth proportional to 630.53, 869.74 and 433.70 is: 598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.53 : 869.74 = 433.70 : x
  2. Step 2: Convert to fraction form
    630.53/869.74 = 433.70/x
  3. Step 3: Cross multiply
    630.53x = 869.74 × 433.70
  4. Step 4: Simplify right side
    630.53x = 377,204.07
  5. Step 5: Solve for x
    x = 377,204.07/630.53
  6. Step 6: Final answer
    x = 598.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.